Population-level effects of density dependence in a size-structured fishery model

Applied Mathematics and Computation

Volumn 139, Issue 1, 2003, Pages 133-155

  Jang, S R J ^a,b   Diamond, S L ^a  

^a TEXAS TECH UNIVERSITY   (United States)

^b UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

Author keywords

Density dependence; Equilibrium resilience; Liapunov exponent; Net reproductive number

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; FISHERIES; LYAPUNOV METHODS;

NET REPRODUCTIVE NUMBER;

POPULATION STATISTICS;

EID: 0037410877     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00185-6     Document Type: Article

References (17)

1. Allen L. A density-dependent Leslie matrix model. Math. Biosci. 95:1989;179-187.
2. Caswell H. Matrix Population Models. second ed. 2001;Sinauder Associates, Massachusetts.
3. J.M. Cushing, An introduction to structured population dynamics, CBMS-NSF regional conference series in Applied Mathematics, 71. Society for Industrial and Applied Mathematics, Philadelphia, PA, 1998.
4. DeAngelis D.L., Svoboda L.J., Christensen S.W., Vaughan D.S. Stability and return times of Leslie matrices with density-dependent survival: applications to fish populations. Ecol. Modell. 8:1980;149-163.
5. Friedland S., Schneider H. The growth of powers of a nonnegative matrix. SIAM Alg. Disc. Meth. 1:1980;185-200.
6. C.P. Goodyear, Red snapper in US waters of the Gulf of Mexico, Department of Commerce, National Oceanic and Atmospheric Administration, National Marine Fisheries Service, NOAA-NMFS/SEFSC-Miami Lab., MIA 91/92-70.
7. C.P. Goodyear, Red snapper in US waters of the Gulf of Mexico, Department of Commerce, National Oceanic and Atmospheric Administration, National Marine Fisheries Service, NOAA-NMFS/SEFSC-Miami Lab., MIA 95/96-05.
8. Higgins K., Hastings A., Botsford L.W. Density dependence and age structure: nonlinear dynamics and population behavior. Amer. Naturalist. 149:1997;247-269.
9. Hilborn R., Walters C.J. Qualitative Fisheries Stock Assessment: Choice, Dynamics, and Uncertainty. 1992;Chapman and Hall, New York.
10. S. Jang, J.M. Cushing, A discrete hierarchical model of intraspecific competition, submitted for publication.
11. Jensen A.L. Simple density-dependent matrix model for population projection. Ecol. Modell. 77:1995;43-48.
12. Levin S.A., Goodyear C.P. Analysis of an age structured fishery model. J. Math. Biol. 9:1980;245-274.
13. May R.M., Oster G.F. Bifurcations and dynamic complexity in simple ecological models. Amer. Naturalist. 110:1976;573-599.
14. O'Neill R.V., Gardner R.H., Christensen S.W., Winkle W., Carney J.H., Mankin J.B. Some effects of parameter uncertainty in density-independent and density-dependent Leslie models for fish populations. Can. J. Fish. Aquat. Sci. 38:1981;91-100.
15. M.J. Schirripa, C.M. Legault, Status of the red snapper in US waters of the Gulf of Mexico, Department of Commerce, National Oceanic and Atmospheric Administration, National Marine Fisheries Service, NOAA-NMFS/SEFSC-Miami Lab., SFD-99/00-75.
16. Varga R.S. Matrix Iterative Analysis. 1962;Prentice-Hall, New Jersey.
17. Wikan A. Four-periodicity in Leslie matrix models with density dependent survival probabilities. Theor. Popul. Biol. 53:1998;85-97.